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Given:
Universal Set 
U=3,4,7,10,12
Subset 
B=3,12
What is the complement of Set B in Set U?

{4,7,10}

{3,12}

{3,4,7,10,12}

{3,4,7,12}

Given:\newlineUniversal Set U=3,4,7,10,12 \mathrm{U}=3,4,7,10,12 \newlineSubset B=3,12 B=3,12 \newlineWhat is the complement of Set B in Set U?\newline{4,7,10} \{4,7,10\} \newline{3,12} \{3,12\} \newline{3,4,7,10,12} \{3,4,7,10,12\} \newline{3,4,7,12} \{3,4,7,12\}

Full solution

Q. Given:\newlineUniversal Set U=3,4,7,10,12 \mathrm{U}=3,4,7,10,12 \newlineSubset B=3,12 B=3,12 \newlineWhat is the complement of Set B in Set U?\newline{4,7,10} \{4,7,10\} \newline{3,12} \{3,12\} \newline{3,4,7,10,12} \{3,4,7,10,12\} \newline{3,4,7,12} \{3,4,7,12\}
  1. Identify Elements in Set UU: Identify elements in Set UU that are not in Set BB.U={3,4,7,10,12},B={3,12}U = \{3, 4, 7, 10, 12\}, B = \{3, 12\}
  2. List Elements in UU: List out the elements in UU that aren't in BB.\newlineComplement of B={4,7,10}B = \{4, 7, 10\}
  3. Check Element Inclusion: Check if all elements of UU are accounted for and none from BB are included in the complement.

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